hw1.sol.Spring07

hw1.sol.Spring07 - ME 452: Machine Design II Solution to...

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Unformatted text preview: ME 452: Machine Design II Solution to Homework Set 1. Problem 5-23, page (i) The free body diagrams of the shaft in the xy and the xz planes are shown below: (ii) The shear force, bending moment and torque diagrams for the shaft in the xy and xz planes are shown below: (iii) The torque at sections B and C are given by x-y plane x-z plane 350 lb 222.7 lb 127.3 lb A B C D 8 in 8 in 6 in x y x A D 105.5 lb 387 lb 281.5 lb B C 8 in 8 in 6 in z x-y plane x-z plane -222.7 lb 127.3 lb A B C D A B C D -1781.6 in-lb 105.5 lb -281.5 lb A B C D A B C D 1689 in-lb A B C D 1000 in-lb Shear force Bending Moment Torque (300 50)(4) 1000 in-lb B T =- = and (360 27)(3) 1000 in-lb C T =- In the xy plane, 222.7 8 1781.6 in-lb B M = = and 127.3 6 763.8 in-lb C M = = In the xz plane, 105.5 8 844 in-lb B M = = and 281.5 6 1689 in-lb C M = = The resultants are 2 2 1/ 2 [(1781.6) (844) ] 1971.4 in-lb B M = + = and 2 2 1/ 2 [(1689) (763.8) ] 1853.7 in-lb C M = + = Note that transverse shear stresses usually dont influence the choice of critical plane. Bending and torsion do, especially for long slender beams. torsion do, especially for long slender beams....
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hw1.sol.Spring07 - ME 452: Machine Design II Solution to...

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